Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
Determine whether each expression is equivalent to 10^t^2+2t-3
All answer choices are equivalent
All the expressions given in option is equivalent to the expression
([tex]10^{t^{2}+2t-3 }[/tex])
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.
Given is an expression, ([tex]10^{t^{2}+2t-3 }[/tex])
We know, when equal base get multiplied with different powers, the power get added and in case of division they get subtracted,
([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex]
[tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex]
When we factorize, t²+2t-3, we get,
t²+2t-3 = (t+3)(t-1)
Therefore, ([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex] = [tex]10^{(t+3)(t-1)}[/tex]
Hence, we can say that, All the expressions given in option is equivalent to the expression ([tex]10^{t^{2}+2t-3 }[/tex])
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simplify 5t + 8t - 12t (with explaining the steps)
Answer:
Hello There!!
Step-by-step explanation:
Combine like terms:
•5t+8t-12t
•5t+8t=13t
•13t-12t=1t
•1t=t
hope this helps,have a great day!!
~Pinky~
Answer:
T
Step-by-step explanation:
See the steps below:)
i need the answer to this question
Answer:
NO = 10
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then it is half the length of the third side, that is
18 - 2x = [tex]\frac{1}{2}[/tex] (9x - 16) ( multiply both sides by 2 to clear the fraction )
36 - 4x = 9x - 16 ( add 4x to both sides )
36 = 13x - 16 ( add 16 to both sides )
52 = 13x ( divide both sides by 13 )
4 = x
Then
NO = 18 - 2x = 18 - 2(4) = 18 - 8 = 10
Gavin needs to fill the fish tank below with water. The directions state that the water level should be 2 inches below the top of the tank. Write an expression to show the volume of water Gavin needs to fill the tank according to the directions.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete; So, I will solve the question generally.
Assume the following;
[tex]l \to length[/tex]
[tex]w \to width[/tex]
[tex]h \to height[/tex]
Since the water level must be 2 inches below the tank height, the water height is:
[tex]H \to h - 2[/tex]
So, the water volume is:
[tex]Volume = l * w * H[/tex]
[tex]Volume = l * w * (h - 2)[/tex]
Hence, the expression is:
[tex]Volume = l * w * (h - 2)[/tex]
Assume that:
[tex]l = 5; w = 10; h = 8[/tex]
The volume becomes:
[tex]Volume = 5 * 10 * (8 - 2)[/tex]
[tex]Volume = 5 * 10 * 6[/tex]
[tex]Volume = 300[/tex] cubic units
graph (-5,0) (9,0) (8,-39)
Answer:
just plot the coordinates down on graph and then u'll have them graphed
Step-by-step explanation:
I don't know I'm too lazy 2 put an explanation
i put 10 points please help me with this
Answer: X=6 Y=4
x+y= 10
6+4=10
x-y=2
6-4=2
Answer:
x=6
y=4
Step-by-step explanation:
Use an elimination method:
add equation 1 and 2 together.
2x = 12
divide both side by 2
x = 12/2
x = 6
use equal 1,
x + y = 10
y = 10 - x
y = 10 - 6
y = 4
The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle
Kiara gets to spin the big prize wheel, which has a radius of 2 meters. What is the prize wheel's area? PLZ HELP me
Answer:
4pi or 12.57
Step-by-step explanation:
Area = pi * radius^2
Area = pi * 2^2
Area = pi * 4
Area = 4pi or 12.57
I need help please I dont get this
Answer:
Step-by-step explanation:
Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:
[tex]x\sqrt{3}=18[/tex] and
[tex]x=\frac{18}{\sqrt{3} }[/tex] and rationalizing the denominator,
[tex]x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}[/tex]
This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get
12√3, the third choice down.
Is the ordered pair (5,-6) a solution of the following system of linear equations?
6x + 3y = 12
4x + y = 14
A) No, the ordered pair is not a solution.
B) Yes, the ordered pair is a solution.
Write an equation that represents the line.
Use exact numbers.
ting sio
Answer:
y = 3/4x + 2
Step-by-step explanation:
By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.
(3/4 = 0.75 if decimal is needed)
Each day, the seals at an aquarium are fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 400 pounds.
Answer:
32 just multiply by four
✰ ☆
(Only if you are right obviously)
Which beliefs do most Christians hold
A. there are many different gods
B. non-jews cannot become Christians
C. Jesus was the son of God
D. Christians should not perform rituals
Amy is packing up 434 books to ship a customer. She can fit 8 books in each box. How manky boxes will Amy need to use to ship the the entire order
Answer:
55
Step-by-step explanation:
the real answer would be 54.25 but you have to round
Step-by-step explanation:
434/8= 54.25
We can't have a decimal of a box, so,
55 boxes
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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What is the surface area, in square centimeters, of the square pyramid?
Winner gets brainliest!!!!!!!!!
1. 27
2. 56
3. 40
4. 80
Answer:
2.) 56
Step-by-step explanation:
(5 x 4) ÷ 2 = 10
10 x 4 = 40
4 x 4 = 16
40 + 16 = 56
given the figure below find the value of x and z
Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself
Step-by-step explanation:
Lolol
Leroy draws a rectangle that has a length of 11.9 centimeters and a width of 7.6 centimeters. How much longer is the length than the width of Leroy's rectangle?
Answer: 4.3 cm
Step-by-step explanation:
Leroy's rectangle's width is 7.6 cm in length and the length of the triangle is 11.9 cm.
The length is therefore longer than the width and the difference is:
= Length - Width
= 11.9 - 7.6
= 4.3 cm
If using the method of completing the square to solve the quadratic equation
x² – 8x
1= 0, which number would have to be added to "complete the
square"?
You add half of the coefficient of x and square it.
What you do on one side,you must do it on the other.
1. to a survey teens about their music preferences. you would question several teens:
a: attending a classical choir recital
b: as they enter a music store
choose the sample that is more likely to be representative of the population.
Answer:
B: as they enter a music store
Step-by-step explanation:
b is in a music store where you find people who enjoy music, but have diverse tastes.
in a classical choir recital, your results will be biased because a majority of the people there enjoy classical choir music the most.
Please help me fast!!!
Answer:
y=25x+150
Step-by-step explanation:
The slope is 25 and the y-intercept is 150.
Hope this helps.
Alex is saving up to buy the newest version of Playstation. Alex earns $84 after 3 weeks of mowing lawns. How much money does Alex earn per week mowing lawns?
Answer:
84/3=28
Alex earns $28 a week mowing lawns.
Answer:
He earns 28 dollars per week mowing lawns
Step-by-step explanation:
Wow Alex should get a higher paying job lol
I NEED HELP RIGHT NOW PLEASE!!!!!
NO LINKS
Answer:
48
Step-by-step explanation:
The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192
Mr. Olen is looking at the drawings of two proportional city lots. One of the dimensions of Lot B is not readable. How many square feet are in Lot B?
325,000 square feet
75,000 square feet
135,000 square feet
202,000 square feet
NO LINKS
Answer:
nfdsBFS>BFBms?FBsbn
Step-by-step explanation:vkhgv
SFsASFWWFmreweebwfjfeWBEfeb
The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.
Answer:
7 hours
Step-by-step explanation:
Rental cost :
Fixed pay = $20
Hourly cost = 2.65
To obtain the minimum rental hour, we work with the least amount that can be spent ;
For tourist that can spend more than $37 but less than $65
Total cost of rental :
20 + 2.65h ; h = number of hours
When total cost > 37
20 + 2.65h > 37
2.65h > 37 - 20
2.65h > 17
h > 6.415
Hence, the minimum whole hour of bicycke rental is 7 hours
The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation of the perimeter
Answer: [tex]6x^2-2x+4[/tex]
Step-by-step explanation:
Given
The length of a rectangle is given by
[tex]l=2x^2-5x+5[/tex]
and the breadth is given by
[tex]w=x^2+4x-3[/tex]
Perimeter is the sum of the sides of rectangle
[tex]\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4[/tex]
Thus, the perimeter is given by [tex]6x^2-2x+4[/tex].
Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is line segment AD? What is the area of the shape?
Answe545r:
45454
Step-by-step explanation:
A sum of money is divided between A, B and C in the ratio 10:6:4. If B receives 515 more
than C , how much will A get and what is the total sum of money?
Answer:
Amount A get = 2,575
Total amount = 5,150
Step-by-step explanation:
Given:
Ratio between A,B and C = 10:6:4
Assume;
Common ration is 'a'
So,
Amount A get = 10a
Amount B get = 6a
Amount C get = 4a
So,
Amount B get - Amount C get = 515
6a - 4a = 515
2a = 515
a = 257.5
Total amount = 10a + 6a + 4a
Total amount = 20a
Total amount = 20(257.5)
Total amount = 5,150
Amount A get = 10a
Amount A get = 10(257.5)
Amount A get = 2,575
Austin’s monthly gross pay is $4,200. Federal withholding is 16.05% of his pay. His other deductions total $321.30. What is his net pay.
Answer:
[tex]gross \ pay = 4200\\\\federal \ deduction = \frac{16.05}{100} \times 4200 = 674.10\\\\Net \ pay = 4200 - 674.10 -321.30= 3204.60[/tex]
Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2^22squared
Answer:
96 squared units
Step-by-step explanation:
Please find attached the diagram used in answering this question
The surface area is equal to the area of each shape
Area of a triangle = Area of a triangle = 1/2 x ( base x height)
1/2 x 2 x 3= 3
there are 4 triangles, area of both triangles = 3x4 = 12
Area of rectangle = length x width
Area of middle rectangle = 6 x 7 = 42
Area of two side rectangles = (3 +3) x 7 = 42
surface area = 42 + 42 + 12 = 96